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Finding the Fourth Proportional to 511,513.11, 705,871.92 and 282,080.07

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Solution

The fourth proportional to 511,513.11, 705,871.92 and 282,080.07 is: 389,261.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,513.11 : 705,871.92 = 282,080.07 : x
  2. Step 2: Convert to fraction form
    511,513.11/705,871.92 = 282,080.07/x
  3. Step 3: Cross multiply
    511,513.11x = 705,871.92 × 282,080.07
  4. Step 4: Simplify right side
    511,513.11x = 199,112,400,604.63
  5. Step 5: Solve for x
    x = 199,112,400,604.63/511,513.11
  6. Step 6: Final answer
    x = 389,261.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.